442472608 has 48 divisors (see below), whose sum is σ = 919296000. Its totient is φ = 209060352.

The previous prime is 442472593. The next prime is 442472609. The reversal of 442472608 is 806274244.

It is not an unprimeable number, because it can be changed into a prime (442472609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345313 + ... + 346591.

It is an arithmetic number, because the mean of its divisors is an integer number (19152000).

Almost surely, 2^442472608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442472608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

442472608 is an abundant number, since it is smaller than the sum of its proper divisors (476823392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442472608 is a wasteful number, since it uses less digits than its factorization.

442472608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 442472608 is about 21035.0328737561. The cubic root of 442472608 is about 762.0125605588.

The spelling of 442472608 in words is "four hundred forty-two million, four hundred seventy-two thousand, six hundred eight".